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Finding the Fourth Proportional to 11,978.76, 16,531.12 and 6,673.90

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Solution

The fourth proportional to 11,978.76, 16,531.12 and 6,673.90 is: 9,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.76 : 16,531.12 = 6,673.90 : x
  2. Step 2: Convert to fraction form
    11,978.76/16,531.12 = 6,673.90/x
  3. Step 3: Cross multiply
    11,978.76x = 16,531.12 × 6,673.90
  4. Step 4: Simplify right side
    11,978.76x = 110,327,041.77
  5. Step 5: Solve for x
    x = 110,327,041.77/11,978.76
  6. Step 6: Final answer
    x = 9,210.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.